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Finding the Fourth Proportional to 253,546.92, 349,894.14 and 146,116.02

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Solution

The fourth proportional to 253,546.92, 349,894.14 and 146,116.02 is: 201,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,546.92 : 349,894.14 = 146,116.02 : x
  2. Step 2: Convert to fraction form
    253,546.92/349,894.14 = 146,116.02/x
  3. Step 3: Cross multiply
    253,546.92x = 349,894.14 × 146,116.02
  4. Step 4: Simplify right side
    253,546.92x = 51,125,139,158.12
  5. Step 5: Solve for x
    x = 51,125,139,158.12/253,546.92
  6. Step 6: Final answer
    x = 201,639.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.